一类多时滞蜱种群动力学模型的稳定性分析  

Stability analysis of a class of tick population dynamics models with multiple delays

作　　者：潘雅洁 PAN Yajie(College of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学数学与统计学院,湖南长沙410114

出　　处：《湖南文理学院学报(自然科学版)》2025年第2期7-12,26,共7页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：国家自然科学基金(11971076)。

摘　　要：利用Lyapunov泛函理论和微分不等式技巧,研究了一类具有多时滞的蜱种群动力学模型的平衡点的稳定性。首先证明了所考虑模型解的正性和有界性,然后结合蜱种群模型的相关参数条件,构造了该模型的正不变集,并给出了零平衡点和正平衡点稳定性的充分条件,所得结果推广和完善了已有文献中的相应结论。The stability of equilibrium points for a class of tick population dynamics models with multiple delays is studied by utilizing Lyapunov functional theory and differential inequality techniques.The positivity and boundedness of the solutions for the considered model are obtained,and then the positive invariant sets of the model are constructed combining parameter conditions related to the tick population model,and sufficient conditions for the stability of the zero and positive equilibrium points are presented.The results of this paper extend and refine the corresponding conclusions of the existing literature.

关 键 词：多时滞 蜱种群模型 稳定性 LYAPUNOV泛函 正不变集 

分 类 号：O175.13[理学—数学]